Answer Happy

5. Do you expect a particle with a large value of 1 to be found near the origin, or far away? Why? 6. Why do we set n = 0 in the spherical particle in a box solution? 7. Why did we ignore the angular momentum in one-dimensional quantum mechanics? 2 Problems 1. Show that 2 dΩ = do sin Odo = 41. 2. Suppose that a particle is described by the three-dimensional wave function (r) = Aer/ where A is a normalization constant, and do is a constant with units of distance. 1 (a) Find A. (b) What is the probability density for this particle? (c) Where is this particle most likely to be found? Note: Be careful on this calculation the square of the wave function represents the probability per unit volume. Thus, you need to include the volume element, 4wr2, to find the maximum probability,